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Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. PowerNex Associates Inc. Module #1 Basic Electricity Slide 1 www.pnxa.com Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Module 1 Learning Objectives To gain an understanding of the following: Basic Electricity (1A) Units of Measurement Energy and Power Ohm’s Law and Joule’s Law Electrical Losses, Parallel Paths AC and DC Frequency The Transformer Real and Reactive Power Power Factor Three Phase Power Geography and History related to the Ontario power system (1B) History and Growth of Ontario’s Power System Functions performed by Ontario Hydro and where they now belong The world outside Ontario, the interconnected system NERC/NPCC Slide 2 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Module 1A Basic Electricity Units of measurement Voltage (volts) Current (amps) Resistance (ohms) Frequency (hertz) Power (watts) Reactive Power Apparent Power v (Kv) I or A Hz w (Mw) var (Mvar) va (Mva) Slide 3 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Units of measurement Kilo (K) Mega (M) Giga (G) Tera (T) 1,000 1,000,000 1,000,000,000 1,000,000,000,000 Typically Volts in Kv Watts in Mw Current as is eg 230 Kv eg 500 Mw eg 100 A Slide 4 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power Slide 5 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy is the ability or capacity to do work. Energy and work are measured in the same units: eg joules. There are two main types of energy viz; Potential energy (stored energy, eg gravity, coal, oil, gas, the atom). Kinetic energy (motion energy, eg electrical energy, wind, sound) Energy can be neither created nor destroyed (law of conservation of matter and energy), but it can be changed from one form into another From potential energy to mechanical energy to electrical energy (as is the case with a hydro electric facility) From heat energy in coal to mechanical energy to electrical energy (as is the case of a fossil fired facility) Slide 6 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power The basic energy unit is the Btu. This stands for British thermal unit. A Btu is defined as the amount of heat energy it takes to raise the temperature of one pound of water by one degree Fahrenheit, at sea level. One Btu roughly equals: An average candy bar One match It takes, for example, about 2,000 Btus to make a pot of coffee. 1,056 joules = 1 Btu In most countries (except for the USA) energy is measured in joules rather than Btus. Slide 7 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power BTU Content of Common Energy Units 1 gallon (imp) of gasoline = 149,000 Btu 1 litre of gasoline = 33,000 Btu 1 gallon (imp) of diesel fuel = 167,000 Btu 1 litre of diesel fuel = 37,000 Btu 1 barrel(42 US gallons/ 34 imp gallons) of crude oil = 5,800,000 Btu 1 cubic foot of natural gas = 1,031 Btu Slide 8 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power Power is a measure of how much work can be performed in a given amount of time or how rapidly a standard amount of work is done. American cars for example are rated in "horsepower". In Europe many cars are rated in Kw. (1 horsepower = 0.746 Kw) The power of a car's engine won't indicate how high a hill it can climb or how much weight it can tow, but it will indicate how fast it can climb a specific hill or tow a specific weight Slide 9 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power Slide 10 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power Slide 11 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power Slide 12 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Energy and Power Slide 13 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Ohm’s Law and Joule’s law Slide 14 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Ohm’s Law and Joule’s law Water analogy for Voltage, Current and Resistance Voltage (V)equivalent to water pressure Current (I) equivalent to water flow Resistance (R) equivalent to restrictions in pipes Slide 15 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Ohm’s Law and Joule’s law Electrical energy is governed by Ohm’s Law and Joule’s law I = V/R (Ohm’s law) where I is Current (amps), V is voltage (volts) and R is resistance (ohms). P = V*I (Joule’s law) where P is Power (watts) Electrical energy is expressed in watt hours (power expended over a given amount of time) Slide 16 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Ohm’s Law and Joule’s law Example Circuit must be complete for current to flow, if switch is open nothing happens. Current (I) = 12/3= 4 amps Power = 12 x 4 = 48 watts Energy over an hour = 48 watt hours Slide 17 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Ohm’s Law and Joule’s law The lamp will light 1 second after throwing the switch! Slide 18 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Ohm’s Law and Joule’s law Now we can use these two formulae to show that : P = V2/R In other words power is proportional to the square of the voltage. We can theoretically transfer four times the power if we double the voltage (important concept) Slide 19 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Electrical Losses and Parallel Paths Slide 20 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Electrical Losses and Parallel Paths Power losses occur when current flows though a resistance P = V x I (Joule’s Law) But V = I x R (Ohm’s Law) Therefore P = I2 x R or I2R These losses appear as heat – example is the electric kettle In a transmission line the resistance of the line causes losses based on this formula, the higher the resistance and the current the greater the power losses. Slide 21 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Series Path Total Resistance R = R1 + R2 = 11 ohms Therefore I = V/R = 100/11 = 9.09 amps Line Losses = I2 R1 = 82.6 x 1 = 82.6 watts R1 = 1 Ohm Transmission Line V = 100 Volts I = 9.09 amps R2 = 10 Ohms Load (Customer) Slide 22 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Parallel Path I/R1 = 1/RA +1/RB + 1/RC = 1/1 +1/1 +1/1 = 3/1 Therefore R1 = 1/3 ohm = 0.333 ohms Therefore total Resistance = R1 + R2 = 10.333 ohms Therefore I = V/R = 100/10.33 = 9.7 amps and line losses = I2 * R1 = 31 watts RA = 1 Ohm R1 RB = 1 ohm RC = 1 ohm V = 100 Volts Lines I =9.7 amps Load (Customer) R2 = 10 ohms Slide 23 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Calculation: electrical voltage, current, resistance, and power Slide 24 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Alternating Current and Direct Current Slide 25 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Alternating Current and Direct Current DC stands for "Direct Current," meaning voltage or current that maintains constant polarity and direction over time. AC stands for "Alternating Current," meaning voltage or current that changes polarity and direction over time. Slide 26 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Alternating Current and Direct Current Slide 27 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Alternating Current and Direct Current Slide 28 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Alternating Current and Direct Current Slide 29 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Why Alternating Current (AC) is used and not Direct Current (DC) The transformer's ability to step AC voltage up or down with ease gives AC an advantage unmatched by DC. When transmitting electrical power over long distances, it is far more efficient to do so with stepped-up voltages and stepped-down currents, then step the voltage back down and the current back up for industry, business, or consumer use. Cannot run induction motors with DC, most industrial motors are induction motors (simple and versatile). DC is used to transmit power over very long distances but it is then converted back to AC for end use Slide 30 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced Magnetism and Electricity are completely intertwined Electric current (moving electric charge) creates magnetism (discovered by Andre-Marie Ampere in the 1820’s) Moving magnets create current in nearby conductors (discovered by Michael Faraday also in the 1820’s) Slide 31 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced Magnetism and Electricity are completely intertwined If the magnet does not move there is no attraction If the material is not a conductor there is no attraction Slide 32 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced When the magnet is moved a current is induced in the coiled wire. Magnet Slide 33 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced Slide 34 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced Magnetic lines of force are stronger (more numerous) at the two poles of the magnet When a rotating magnet passes a stationary conductor (wire) the induced current in the wire is greatest when each of the poles pass. N S This is why we get a sine wave Slide 35 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced The rotor of an AC generator is a rotating magnet(s). The stator of an AC generator is a series of stationary windings and electric current is induced in them by the rotating magnet(s) Slide 36 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced Slide 37 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity How AC Power is Produced A rotor and stator for a hydro-electric generator (note the number of poles) Slide 38 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Frequency Slide 39 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Frequency Measured in cycles per second or Hertz. 60 Hertz in North America 50 Hertz in Europe Time for 1 cycle = 1/60 = 16.66 milli secs Slide 40 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Frequency At what rotational speed must an AC generator spin at to produce a frequency of 60 Hz? RPM = frequency x 120 divided by number of pole pairs, where RPM = revolutions per minute f = frequency in hertz Therefore the rotor of a machine with two pole pairs (typical fossil fired unit) rotates at 3600 RPM Hydroelectric units rotate at much slower speeds, they have more pole pairs. Slide 41 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Frequency Frequency is the basic metric used to ensure that there is sufficient generation to meet customer demand. Lower frequency (< 60 Hz) means customer demand not being fully met Higher frequency (> 60 Hz) means that customer demand is being oversupplied Slide 42 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity The Transformer Slide 43 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity The Transformer Np x Ip = Ns x Is Vp/Np = Vs/Ns Slide 44 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity The Transformer Slide 45 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity The Transformer Slide 46 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power The concepts of Watts (real power) Volt ampere reactive, Var (reactive power or imaginary power) Slide 47 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power Reactive power is a concept used to describe the loss of power in a system arising from the production of electric and magnetic fields. Although reactive loads such as inductors and capacitors dissipate no power, they drop voltage and draw current, which creates the impression that they actually do. This “imaginary power” or “phantom power” is called reactive power. It is measured in a unit called Volt-Amps-Reactive (VAR). The actual amount of power being used, or dissipated, is called true power, and is measured in the unit of watts. The combination of reactive power and true power is called apparent power, and it is the product of a circuit's voltage and current. Apparent power is measured in the unit of Volt-Amps (VA). Slide 48 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power V= Power in a purely resistive AC circuit All the power is positive Slide 49 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power V= Power in a purely inductive AC circuit Note that the power is pulsating, no power is absorbed by the load. Slide 50 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power V= Power in an inductive and resistive AC circuit Note that although most of the power is positive, there is a small pulsating component Slide 51 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power In a purely resistive circuit, all circuit power is dissipated by the resistor(s). Voltage and current are in phase with each other. In a purely reactive circuit, no circuit power is dissipated by the load(s). Rather, power is alternately absorbed from and returned to the AC source. Voltage and current are 90o out of phase with each other. In a circuit consisting of resistance and reactance mixed, there will be more power dissipated by the load(s) than returned, but some power will definitely be dissipated and some will merely be absorbed and returned. Voltage and current in such a circuit will be out of phase by a value somewhere between 0o and 90o. Slide 52 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Reactive Power Power provided and maintained for the explicit purpose of ensuring continuous, steady voltage on transmission networks. Reactive power must be produced for maintenance of the system and is not produced for end-use consumption. Electric motors, electromagnetic generators and alternators used for creating alternating current are all components of the energy delivery chain which require reactive power. Losses incurred in transmission from heat and electromagnetic emissions are included in total reactive power. This power is supplied for many purposes by generators, condensers, capacitors and similar devices which can react to changes in current flow by releasing energy to normalize this flow. Slide 53 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Reactive Power Why do we need Reactive Power? To Maintain and Control the voltage balance on the power system To avoid damage to the Transmission system Generation plant Other connected parties The provision of Reactive Power by all generating units for voltage support is vital in maintaining a secure and stable Transmission System Slide 54 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Reactive Power – an analogy (sort of!) Consider walking across a trampoline. There is an up and down motion required to traverse the trampoline. This up and down motion is analgous to reactive power (required but not useful work) Slide 55 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Impedance R = Resistance (ohms) XL = Inductive Reactance (ohms) XC = Capacitive Reactance (ohms) X = XL - XC (ohms) Ohm’s Law still applies only now it’s I = V/Z Slide 56 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power Power dissipated by a load is referred to as true power. True power is symbolized by the letter P and is measured in the unit of Watts (W). Power merely absorbed and returned in load due to its reactive properties is referred to as reactive power. Reactive power is symbolized by the letter Q and is measured in the unit of Volt-Amps-Reactive (VAR). Total power in an AC circuit, both dissipated and absorbed/returned is referred to as apparent power. Apparent power is symbolized by the letter S and is measured in the unit of Volt-Amps (VA). These three types of power are trigonometrically related to one another. In a right triangle, P = adjacent length, Q = opposite length, and S = hypotenuse length. The opposite angle is equal to the circuit's impedance (Z) phase angle Slide 57 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power Slide 58 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Real and Reactive Power True, Reactive, and Apparent power Good paper on Reactive Power Supply can be found at: http://www.ferc.gov/EventCalendar/Files/20050310144430-02-04-05-reactive-power.pdf Slide 59 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Good explanations of reactive power requirements in a power system http://www.ferc.gov/EventCalendar/Files/20050310144430-02-0405-reactive-power.pdf http://www.ornl.gov/sci/btc/apps/Restructuring/con453.pdf Slide 60 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Power Factor Slide 61 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Power Factor When expressed as a fraction, the ratio between true power and apparent power is called the power factor. Because true power and apparent power form the adjacent and hypotenuse sides of a right angle triangle, respectively, the power factor ratio is also equal to the cosine of that phase angle If the cosine of the angle is 0.9 then the angle is ~ 25 degrees Slide 62 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Power Factor For the purely resistive circuit, the power factor is 1 (perfect), because the reactive power equals zero. Here, the power triangle would look like a horizontal line, because the opposite (reactive power) side would have zero length. For the purely inductive circuit, the power factor is zero, because true power equals zero. Here, the power triangle would look like a vertical line, because the adjacent (true power) side would have zero length. The same could be said for a purely capacitive circuit. If there are no dissipative (resistive) components in the circuit, then the true power must be equal to zero, making any power in the circuit purely reactive. The power triangle for a purely capacitive circuit would again be a vertical line (pointing down instead of up as it was for the purely inductive circuit). Slide 63 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Customer loads are generally a combination of resistive and inductive, hence the aggregate load on the power system is net inductive, ie customer loads absorb VARs. At off peak times lightly loaded transmission lines can have a large capacitive effect. Hence during on peak periods generators have to produce VARs and at off peak times have to absorb VARs Generators are required to be able to provide full Mw output at 0.9 power factor lagging and 0.95 power factor leading Slide 64 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Three Phase Power Slide 65 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Three Phase Power Single phase versus three phase generator Could be any number of phases but standardized at three phase Can be compared to the number of cylinders in your car Industry uses all three phases, households normally only one. Slide 66 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Three Phase Power Each phase is 1200 apart Slide 67 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Three phase power All transmission lines are three phase Some distribution lines (very low voltage) are single phase Loads on each phase normally balanced Slide 68 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Double circuit transmission line Each line has 3 phases Phase Voltage is Phase to Phase Line Voltage is Line to ground Slide 69 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Perspectives Slide 70 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Typical household load is about 10 to 20 kw And about 10 Mwh per year Total Ontario electrical energy in the year ~ 150,000,000 Mwh or 150 Twh Slide 71 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity Some every day examples of power Desktop Computer 80 w One sq meter solar panel 120 w Human brain 30 w Electric kettle 1 Kw A 200 horsepower car 150 Kw Av electric power useage/capita in world (in USA 12 Kw) 2.2 Kw Diesel locomotive 3 Mw Aircraft carrier 190 Mw Three Gorges power station (China) 18 Gw Peak load in Ontario 26.5 Gw Hurricane 50 to 200 Tw Slide 72 Power System Operation/Electricity Market Operation Overview PowerNex Associates Inc. Basic Electricity The End Slide 73